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%I #23 Oct 01 2022 00:43:53
%S 9,2,0,1,5,1,1,8,4,5,1,0,6,1,0,1,1,4,9,5,4,7,0,2,8,8,8,2,4,9,1,5,6,0,
%T 3,4,8,8,9,8,5,8,5,5,4,6,8,7,2,6,0,7,0,9,4,3,2,2,4,6,7,8,8,8,2,9,5,9,
%U 9,0,0,9,7,3,6,4,7,2,0,4,3,3,4,0,3,7,1,3,5,7,9,5,9,7,3,4,4,4,9
%N Decimal expansion of Pi/(2 + sqrt(2)).
%H G. C. Greubel, <a href="/A193373/b193373.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F From _Amiram Eldar_, May 08 2021: (Start)
%F Equals Integral_{x>=0} log(1 + 1/(1 + 2*x^2)) dx.
%F Equals Integral_{x=0..Pi} 1/(1 + csc(x)^2) dx. (End)
%e 0.92015118451061011495470288824915603488985855468726...
%p evalf(Pi/(2+sqrt(2)),120); # _Muniru A Asiru_, Sep 30 2018
%t RealDigits[Pi/(2 + Sqrt[2]), 10, 100][[1]] (* _G. C. Greubel_, Sep 29 2018 *)
%o (PARI) default(realprecision, 99); vecextract(eval(Vec(Str(Pi/(2+sqrt(2))))),"3..")
%o (Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Pi(R)/(2 + Sqrt(2)); // _G. C. Greubel_, Sep 29 2018
%Y Cf. A193355.
%K nonn,cons
%O 0,1
%A _M. F. Hasler_, Jul 24 2011
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